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681480930873600 = 2835521113171953179
BaseRepresentation
bin1001101011110011011010010…
…0110011100101000100000000
310022100220221101210110100100000
42122330312210303211010000
51203310340421300423400
610413220003453200000
7263354241521205414
oct23274664463450400
93270827353410300
10681480930873600
11188160492341580
12645236a0a90000
13233344b71c39a0
14c03dbd2a7cd44
1553bbd39d0e600
hex26bcda4ce5100

681480930873600 has 10368 divisors, whose sum is σ = 3389705944934400. Its totient is φ = 132663685939200.

The previous prime is 681480930873577. The next prime is 681480930873641. The reversal of 681480930873600 is 6378039084186.

681480930873600 is a `hidden beast` number, since 6 + 8 + 1 + 480 + 93 + 0 + 8 + 7 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (10368).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 3807156038311 + ... + 3807156038489.

It is an arithmetic number, because the mean of its divisors is an integer number (326939230800).

Almost surely, 2681480930873600 is an apocalyptic number.

681480930873600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681480930873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694852972467200).

681480930873600 is an abundant number, since it is smaller than the sum of its proper divisors (2708225014060800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

681480930873600 is a wasteful number, since it uses less digits than its factorization.

681480930873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 681480930873600 in words is "six hundred eighty-one trillion, four hundred eighty billion, nine hundred thirty million, eight hundred seventy-three thousand, six hundred".